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Description
Number Systems and the Foundations of AnalysisThis study of basic number systems explores natural numbers, integers, rational numbers, real numbers, and complex numbers. Written by a noted expert on logic and set theory, it assumes no background in abstract mathematical thought. Undergraduates and beginning graduate students will find this treatment an ideal introduction to number systems, particularly in terms of its detailed proofs. Starting with the basic facts and notions of logic and set
This study of basic number systems explores natural numbers, integers, rational numbers, real numbers, and complex numbers. Written by a noted expert on logic and set theory, it assumes no background in abstract mathematical thought. Undergraduates and beginning graduate students will find this treatment an ideal introduction to number systems, particularly in terms of its detailed proofs.Starting with the basic facts and notions of logic and set theory, the text offers an axiomatic presentation of the simplest structure, the system of natural numbers. It proceeds, by set-theoretic methods, to an examination of integers that covers rings and integral domains, ordered integral domains, and natural numbers and integers of an integral domain. A look at rational numbers and ordered fields follows, along with a survey of the real number system that includes considerations of least upper bounds and greatest lower bounds, convergent and Cauchy sequences, and elementary topology. Numerous exercises and several helpful appendixes supplement the text.
Binding Type: Paperback
Publisher: Dover Publications
Published: 12/18/2008
ISBN: 9780486457925
Pages: 368
Weight: 0.95lbs
Size: 8.40h x 5.50w x 0.80d
Review Citations: Scitech Book News 03/01/2009 pg. 35
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★★★★★ 5
Compact, comes with a brush to clean, quality stainless steel
I compared several options, examined many images, and read numerous reviews. The thickness and quality of the stainless steel are excellent. The handle is sturdy and strong, making it a reliable choice. Its compact design is a great advantage for travel. It is easy to use, and the coffee tastes great. Additionally, it cleans easily and offers very good value for the money. and offers very good value for the money.
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Reviewed in the United States on March 24, 2025
★★★★★ 5
Perfect Compact Coffee Grinder
This grinder is great for making one or two cups worth of coffee. The coarseness adjustment is easy and reliable and produces perfectly ground coffee for a French Press. The ceramic burrs work very well and do not heat up like metal burrs. The grinder is easily disassembled for cleaning. I'm ordering a second grinder to keep with my camping equipment. I highly recommend this grinder.
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Reviewed in the United States on January 18, 2025
★★★★★ 4
A worthy product.
This is a great little grinder. I roast my own beans, grind normally with an electric, and brew with Aeropress. This is for travel.... Light, compact, not used everyday, and easy to clean. Works just as expected. My only less than 5 stars comment is absent guidance on reassembly after cleaning and a washer fell out. Customer support was 5 star in guiding me. Well done Simcoker!
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Reviewed in the United States on January 27, 2024
★★★★★ 5
Game Changer. Great for backpacking
This is a game-changer for coffee enthusiasts. Its 304 stainless steel construction ensures durability, while the ceramic burrs deliver consistent grind size for a perfect brew every time. The compact size makes it ideal for travel or small kitchen spaces. The inclusion of a cleaning brush and storage pouch adds convenience to its already impressive features. Whether you're at home or on the go, this grinder delivers exceptional results. Highly recommended for anyone serious about their coffee experience.
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Reviewed in the United States on April 4, 2024
★★★★★ 5
Good quality
Good quality so far but only used it few times yet.
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Reviewed in the United States on March 2, 2026